34222252225101 has 32 divisors (see below), whose sum is σ = 48821375635200. Its totient is φ = 21270322022400.

The previous prime is 34222252225069. The next prime is 34222252225163. The reversal of 34222252225101 is 10152225222243.

It is not a de Polignac number, because 34222252225101 - 2⁵ = 34222252225069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222252225001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798320 + ... + 8733561.

It is an arithmetic number, because the mean of its divisors is an integer number (1525667988600).

Almost surely, 2^{34222252225101} is an apocalyptic number.

It is an amenable number.

34222252225101 is a deficient number, since it is larger than the sum of its proper divisors (14599123410099).

34222252225101 is a wasteful number, since it uses less digits than its factorization.

34222252225101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532997.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 34222252225101 its reverse (10152225222243), we get a palindrome (44374477447344).

The spelling of 34222252225101 in words is "thirty-four trillion, two hundred twenty-two billion, two hundred fifty-two million, two hundred twenty-five thousand, one hundred one".